Expert Assistance in Solving College-level Math Problems

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What is the probability that a card selected at random from a standard deck of 52 cards is a number 5 or 6 or 10?

Khaleesi Herbert 2020-10-20

Do the following summarize a categorical variable or a numerical variable? Explain.
(1) For a football player, the average number of yards per carry in one game
(2) For a basketball player, the shooting percentage during one game
(3) For a baseball player, his batting average during the playoffs
(4) For a hockey player, the time on ice per game

Carol Gates 2020-10-20

A January 2007 Gallup Poll question asked, "In general, do you think things have gotten better or gotten worse in this country in the last five years?" Possible answers were “Better”, "Worse”, "No Change", “Don't Know”, and “No Response". What kind of variable is the response?

UkusakazaL 2020-10-20

The table shows the total cost c of buying t movie tickets. Write an equation to represent the relationship between c and t.

$\begin{array}{cc} t & с \\ 1 & 7 \\ 2 & 14 \\ 3 & 21 \\ 4 & 28 \end{array}$

Annette Arroyo 2020-10-20

If a is an idempotent in a commutative ring, show that $1 - a$ is also an idempotent.

nicekikah 2020-10-20

Let $A = {a, b, c, d}$
1. Find all combinatorial lines in $A^{2}$ . How many combinatorial lines are there?
2. Let n in $N$ . Prove that the number of combinatorial lines in $A^{n}$ equals $5^{n} - 4^{n}$

he298c 2020-10-19

Evaluate the integral.
$\int x^{3} \ln x d x$

foass77W 2020-10-19

If a ring has the characteristic that, then prove that it is commutative ab = ca implies b = c when $a \neq 0$ .

FizeauV 2020-10-19

In an experiment designed to study the effects of illumination level on task performance (“Performance of Complex Tasks Under Different Levels of Illumination,” J. Illuminating Eng., 1976: 235–242), subjects were required to insert a fine-tipped probe into the eyeholes of ten needles in rapid succession both for a low light level with a black background and a higher level with a white background. Each data value is the time (sec) required to complete the task.
$\begin{array}{cc} S u b j e c t & (1) & (2) & (3) & (4) & (5) & (6) & (7) & (8) & (9) \\ B l a c k & 25.85 & 28.84 & 32.05 & 25.74 & 20.89 & 41.05 & 25.01 & 24.96 & 27.47 \\ W h i t e & 18.28 & 20.84 & 22.96 & 19.68 & 19.509 & 24.98 & 16.61 & 16.07 & 24.59 \end{array}$
Does the data indicate that the higher level of illumination yields a decrease of more than 5 sec in true average task completion time? Test the appropriate hypotheses using the P-value approach.

Tammy Todd 2020-10-19

Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. This two-way table summarizes the survey data.

$\begin{matrix} G r a d e M o s t i m p o r t a n t & \begin{array}{lcccc} \begin{matrix} 4 th g r a d e \end{matrix} & \begin{matrix} 5 th grade \end{matrix} & \begin{matrix} 6 th g r a d e \end{matrix} & T o t a l \\ G r a d e s & 49 & 50 & 69 & 168 \\ A t h l e t i c & 24 & 36 & 38 & 98 \\ P o p u l a r & 19 & 22 & 28 & 69 \\ T o t a l & 92 & 108 & 135 & 335 \end{array} \end{matrix}$

Suppose we select one of these students at random. What's the probability that: The student is a sixth grader or a student who rated good grades as important?

ringearV 2020-10-19

A chi-square homogeneity test is to be conducted to decide whether four populations are nonhomogeneous with respect to a variable that has eight possible values. What are the degrees of freedom for the $x^{2}$ -statistic?

UkusakazaL 2020-10-19

What is the Laplace transform of $x (t) = e^{- t} \cos (π) t$ ?

Bevan Mcdonald 2020-10-19

At what value of t does the curve $x = 2 t - 3 t^{2}, y = t^{2} - 3 t$ have a vertical tangent?

aortiH 2020-10-19

Write the parametric equations $x = 3 t - 1, y = 3 - 3 t$ as a function of x in the Cartesian form. $y = ?$

lwfrgin 2020-10-18

How is the distinction between qualitative and quantitative data in social research is essentially the distinction between numerical and nonnumerical data?

CheemnCatelvew 2020-10-18

A population of values has a normal distribution with $μ = 239.5$ and $σ = 32.7$ . You intend to draw a random sample of size $n = 139$ .
Find the probability that a single randomly selected value is greater than 235.9.
$P (X > 235.9) =$ ?
Write your answers as numbers accurate to 4 decimal places.

Falak Kinney 2020-10-18

Use Green's Theorems to evaluate $\oint_{C} x y d x + x^{2} y^{3} d y$ , where C is the triangle with vertices(0,0),(1,0)and (1,2).

Wotzdorfg 2020-10-18

Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must $\int 0^{2} f (x) d x$ lie? Which property of integrals allows you to make your conclusion?

tinfoQ 2020-10-18

Laplace transforms A powerful tool in solving problems in engineering and physics is the Laplace transform. Given a function f(t), the Laplace transform is a new function F(s) defined by
$F (s) = \int_{0}^{\infty} e^{- s t} f (t) d t$
where we assume s is a positive real number. For example, to find the Laplace transform of $f (t) = e^{- t}$ , the following improper integral is evaluated using integration by parts:
$F (s) = \int_{0}^{\infty} e^{- s t} e^{- t} d t = \int_{0}^{\infty} e^{- (s + 1) t} d t = \frac{1}{(s + 1)}$
Verify the following Laplace transforms, where u is a real number.
$f (t) = 1 \to F (s) = \frac{1}{s}$

ossidianaZ 2020-10-18

How to solve this confidence interval? Use the confidence interval to find the estimated margin of error. Then find the sample mean. A store manager says a confidence interval of (44.07, 80.97) when estimating the mean price (in dollars) for the population of textbooks.

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College Math Questions: Expert Solutions & Tips